36/63 in simplest form
Understand the Problem
The question is asking to simplify the fraction 36/63 to its lowest terms by finding the greatest common divisor of the numerator and the denominator.
Answer
The simplified form of the fraction is $\frac{4}{7}$.
Answer for screen readers
The simplified form of the fraction is $\frac{4}{7}$.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction, we need to find the GCD of the numerator (36) and the denominator (63).
The factors of 36 are:
- 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 63 are:
- 1, 3, 7, 9, 21, 63
The GCD is the largest number that appears in both lists of factors. From these lists, the largest common factor is 9.
- Divide the Numerator and Denominator by the GCD
Now that we have the GCD, we can divide both the numerator and the denominator by 9.
$$ \frac{36 \div 9}{63 \div 9} $$
This simplifies to:
$$ \frac{4}{7} $$
- Write the Final Simplified Fraction
The simplified form of the fraction $\frac{36}{63}$ is now:
$$ \frac{4}{7} $$
The simplified form of the fraction is $\frac{4}{7}$.
More Information
When simplifying fractions, finding the GCD is a crucial step to ensure that the fraction is in its lowest terms.
Tips
- Ignoring GCD: Some may try to simplify the fraction by dividing by numbers other than the GCD, which won't yield the lowest terms.
- Incorrect Division: Double-checking arithmetic after finding the GCD is essential to avoid calculation errors.
